Finite Group Databasebeta

← #7657957

Subgroups — #7657957

Order 512.

6776 conjugacy classes of subgroups.

The subgroup lattice has 1869 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3521C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#42802C212yesmaximal, complemented
4#42799C212yesmaximal, complemented
5#42680C211yesmaximal, characteristic, complemented
6#42676C211yesmaximal, characteristic, complemented
7#42483C211yesmaximal, characteristic, complemented
8#42479C211yesmaximal, characteristic, complemented
9#42172C212yesmaximal, complemented
10#42169C212yesmaximal, complemented
11#41990C212yesmaximal, complemented
12#41985C212yesmaximal, complemented
13#40533C214yesmaximal, complemented
14#40528C214yesmaximal, complemented
15#39889C212yesmaximal, complemented
16#39888C212yesmaximal, complemented
17#39873C214yesmaximal, complemented
18#39872C214yesmaximal, complemented
19#37616C211yesmaximal, characteristic, complemented
20#37552C212yesmaximal, complemented
21#37544C211yesmaximal, characteristic, complemented
22#37538C212yesmaximal, complemented
23#36443C212yesmaximal, complemented
24#36442C212yesmaximal, complemented
25#35956C211yesmaximal, characteristic, complemented
26#35949C211yesmaximal, characteristic, complemented
27#35938C211yesmaximal, characteristic, complemented
28#35853C211yesmaximal, characteristic, complemented
29#35808C212yesmaximal, complemented
30#35778C212yesmaximal, complemented
31#35247C211yesmaximal, characteristic, complemented
32#35143C212yesmaximal, complemented
33#34614C212yesmaximal, complemented
34#34602C211yesmaximal, characteristic, complemented
35#34193C211yesmaximal, characteristic, complemented
36#3521—216no—
37#3480—216no—
38C2×#559C2212yes—
39C2×#559C2211yescharacteristic, complemented
40C2×#557C2211yescharacteristic, complemented
41C2×#556C2211yescharacteristic
42C2×#556C2211yescharacteristic
43C2×#556C2211yescharacteristic
44C2×#556C2212yescomplemented
45C2×#554C2211yescharacteristic
46C2×#553C2212yes—
47C2×#553C2211yescharacteristic
48C2×#553C2212yescomplemented
49C2×#553C2214yescomplemented
50C2×#552C2211yescharacteristic
51C2×#552C2212yes—
52C2×#551C2212yes—
53C2×#551C2212yes—
54C2×#550C2211yescharacteristic
55C2×#548C2212yescomplemented
56C2×#547C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×#546C2211yescharacteristic
59C2×#542C2211yescharacteristic
60C2×#541C2211yescharacteristic
61C2×#539C2212yes—
62C2×#538C2212yes—
63C2×#532C2212yes—
64C2×#532C2211yescharacteristic, complemented
65C2×#529C2211yescharacteristic
66C2×#529C2212yes—
67C2×#529C2211yescharacteristic
68C2×#529C2212yescomplemented
69C2×#529C2214yescomplemented
70C22×#126C2212yes—
71C2×#520C2211yescharacteristic
72C2×#518C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2212yescomplemented
75C2×C4×#41C2212yescomplemented
76C22×C4×Q8C2211yescharacteristic, complemented
77#2855C2212yescomplemented
78#2854C2212yes—
79#2852C2214yes—
80#2852C2214yescomplemented
81#2823C2214yes—
82#2823C2214yescomplemented
83#2817C2212yescomplemented
84#2816C2212yes—
85#2816C2212yescomplemented
86#2815C2212yes—
87#2813C2212yes—
88#2813C2212yescomplemented
89#2813C2214yescomplemented
90#2727C2214yes—
91#2725C2214yescomplemented
92#2718C2214yes—
93#2705C2214yescomplemented
94#2704C2214yescomplemented
95#2703C2214yes—
96#2702C2214yes—
97#2702C2214yescomplemented
98#2701C2214yescomplemented
99#2701C2214yescomplemented
100#2699C2214yes—
101#2699C2214yescomplemented
102#2698C2214yescomplemented
103#2689C2214yescomplemented
104#2685C2214yes—
105#2683C2214yescomplemented
106#2682C2214yes—
107#2682C2214yescomplemented
108#2681C2214yescomplemented
109#2681C2214yescomplemented
110#2678C2214yes—
111#2678C2214yes—
112#2672C2214yescomplemented
113#2669C2214yes—
114#2664C2212yes—
115#2664C2212yescomplemented
116#2664C2214yescomplemented
117#2662C2212yes—
118#2662C2214yescomplemented
119#2662C2212yescomplemented
120#2658C2211yescharacteristic
121#2657C2211yescharacteristic
122#2642C2211yescharacteristic, complemented
123#2641C2211yescharacteristic, complemented
124#2637C2211yescharacteristic
125#2637C2211yescharacteristic
126#2637C2211yescharacteristic, complemented
127#2637C2211yescharacteristic, complemented
128#2637C2212yescomplemented
129#2637C2212yescomplemented
130#2636C2212yes—
131#2636C2212yescomplemented
132#2636C2212yescomplemented
133#2636C2212yescomplemented
134#2635C2212yescomplemented
135#2635C2212yescomplemented
136#2634C2212yescomplemented
137#2632C2212yes—
138#2630C2214yes—
139#2630C2214yes—
140#2630C2214yescomplemented
141#2630C2214yescomplemented
142#2629C2214yescomplemented
143#2627C2212yescomplemented
144#2627C2212yescomplemented
145#2626C2212yes—
146#2625C2212yescomplemented
147#2624C2212yes—
148#2623C2211yescharacteristic
149#2623C2211yescharacteristic, complemented
150#2620C2212yes—
151#2620C2214yescomplemented
152#2620C2212yescomplemented
153#2620C2212yescomplemented
154#2619C2212yes—
155#2618C2212yes—
156#2618C2212yescomplemented
157#2617C2212yes—
158#2616C2212yescomplemented
159#2615C2212yes—
160#2614C2211yescharacteristic
161#2614C2211yescharacteristic, complemented
162#2611C2212yescomplemented
163#2611C2212yescomplemented
164#2610C2212yescomplemented
165#2610C2212yescomplemented
166#2604C2212yes—
167#2604C2212yescomplemented
168#2603C2212yes—
169#2603C2212yescomplemented
170#2602C2214yes—
171#2602C2214yescomplemented
172#2601C2214yes—
173#2601C2214yes—
174#2601C2214yescomplemented
175#2601C2214yescomplemented
176#2599C2214yescomplemented
177#2598C2214yescomplemented
178#2598C2214yescomplemented
179#2592C2211yescharacteristic
180#2592C2211yescharacteristic
181#2584C2211yescharacteristic, complemented
182#2584C2211yescharacteristic, complemented
183#2582C2212yescomplemented
184#2579C2214yescomplemented
185#2579C2214yescomplemented
186#2568C2211yescharacteristic, complemented
187#2566C2212yescomplemented
188#2558C2214yes—
189#2558C2214yescomplemented
190#2556C2214yescomplemented
191#2554C2214yescomplemented
192#2548C2212yes—
193#2548C2211yescharacteristic, complemented
194#2546C2212yescomplemented
195#2545C2212yes—
196#2545C2212yescomplemented
197#2545C2212yescomplemented
198#2544C2212yes—
199#2544C2212yes—
200#2542C2211yescharacteristic
201#2541C2211yescharacteristic
202#2538C2212yes—
203#2534C2214yes—
204#2534C2214yes—
205#2519C2214yescomplemented
206#2506C2214yescomplemented
207#2486C2212yescomplemented
208#2484C2212yescomplemented
209#2482C2212yes—
210#2474C2214yescomplemented
211#2472C2214yes—
212#2470C2214yescomplemented
213#2468C2214yescomplemented
214#2466C2214yescomplemented
215#2464C2214yescomplemented
216#2461C2214yes—
217#2461C2214yes—
218#2461C2214yescomplemented
219#2459C2214yes—
220#2459C2214yescomplemented
221#2457C2214yes—
222#2457C2214yescomplemented
223#2456C2214yescomplemented
224#2455C2214yescomplemented
225#2455C2214yescomplemented
226#2454C2212yescomplemented
227#2453C2212yescomplemented
228#2452C2212yescomplemented
229#2451C2212yescomplemented
230#2447C2212yes—
231#2447C2212yes—
232#2445C2214yes—
233#2445C2212yes—
234#2445C2212yes—
235#2435C2212yes—
236#2433C2212yes—
237#2432C2212yes—
238#2432C2212yescomplemented
239#2431C2212yes—
240#2431C2212yes—
241#2429C2212yes—
242#2429C2212yes—
243#2429C2212yescomplemented
244#2428C2212yes—
245#2427C2212yes—
246#2426C2212yes—
247#2426C2212yes—
248#2426C2212yescomplemented
249#2418C2214yes—
250#2413C2214yescomplemented
251#2413C2214yescomplemented
252#2411C2214yes—
253#2409C2212yescomplemented
254#2407C2212yes—
255#2407C2212yescomplemented
256#2406C2212yescomplemented
257#2404C2212yes—
258#2399C2211yescharacteristic, complemented
259#2399C2211yescharacteristic, complemented
260#2398C2211yescharacteristic
261#2398C2211yescharacteristic
262#2396C2212yes—
263#2396C2212yescomplemented
264#2396C2212yescomplemented
265#2396C2212yescomplemented
266#2392C2214yes—
267#2392C2212yescomplemented
268#2392C2212yescomplemented
269#2392C2214yescomplemented
270#2367C2212yes—
271#2367C2212yescomplemented
272#2366C2212yes—
273#2365C2212yescomplemented
274#2363C2212yes—
275#2362C2212yes—
276#2361C2212yescomplemented
277#2360C2212yescomplemented
278#2354C2212yes—
279#2354C2214yescomplemented
280Q8×C4⋊C4C2212yescomplemented
281#2347C2212yescomplemented
282#2347C2214yescomplemented
283#2341C2212yes—
284#2323C2214yescomplemented
285#2322C2214yescomplemented
286#2321C2214yes—
287#2319C2211yescharacteristic
288#2319C2211yescharacteristic
289#2319C2212yescomplemented
290#2319C2212yescomplemented
291C4×C22⋊Q8C2214yescomplemented
292C4×#123C2212yes—
293C4×#123C2212yescomplemented
294C4×#121C2214yescomplemented
295#2285C2212yescomplemented
296#2285C2211yescharacteristic, complemented
297#2283C2211yescharacteristic, complemented
298#2283C2212yescomplemented
299#2276C2211yescharacteristic, complemented
300#2276C2211yescharacteristic, complemented
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C23×Q8C2311yescharacteristic
306C23×D4C2311yescharacteristic
307#559—28no—
308#559—216no—
309#557—28no—
310#556—28no—
311#556—216no—
312#556—28no—
313#556—28no—
314#554—28no—
315#553—216no—
316#553—216no—
317#553—232no—
318#553—28no—
319#552—28no—
320#552—216no—
321#551—216no—
322#551—216no—
323#550—28no—
324#548—216no—
325#547—28no—
326#546—28no—
327#546—28no—
328#542—28no—
329#541—28no—
330#539—216no—
331#538—216no—
332#532—216no—
333#532—28no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×#127C2311yescharacteristic
340C2×#127C2312yes—
341C2×#127C2312yes—
342C2×#127C2312yes—
343#529—232no—
344#529—28no—
345#529—28no—
346#529—216no—
347#529—216no—
348C2×#126—216no—
349C2×#126C2312yes—
350C2×#126C2314yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2311yescharacteristic
357C2×#126C2312yes—
358C2×#126C2311yescharacteristic
359C2×#126C2314yes—
360C2×#126C2314yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#125C2311yescharacteristic
365C2×#125C2311yescharacteristic
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#125C2314yes—
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2311yescharacteristic
372C2×#124C2311yescharacteristic
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2311yescharacteristic
377C2×#124C2314yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2311yescharacteristic
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2311yescharacteristic
388C2×#123C2311yescharacteristic
389C2×#123C2314yes—
390C2×#123C2312yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2314yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2314yes—
402C2×#123C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2314yes—
427C2×#121C2314yes—
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2314yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#120C2312yes—
436C2×#120C2312yes—
437C2×#120C2314yes—
438C2×#120C2314yes—
439#520—28no—
440#518—28no—
441C4×#41—216no—
442C4×#41—216no—
443C4×#41D4116yescomplemented
444C2×C4×Q8—28no—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2314yes—
477C2×C4×D4C2314yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2314yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×#117C2312yes—
492C2×#117C2314yes—
493C2×#117C2314yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2311yescharacteristic
497C2×#117C2311yescharacteristic
498C2×#117C2311yescharacteristic
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2314yes—
502C2×#117C2312yes—
503C2×#117C2311yescharacteristic
504C2×#117C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2311yescharacteristic
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2311yescharacteristic
511C22×C22⋊C4C2312yes—
512C22×C22⋊C4C2312yes—
513C22×C22⋊C4C2312yes—
514C22×C22⋊C4C2312yes—
515C22×C42C2314yes—
516C22×C42C2312yes—
517C22×C42C2311yescharacteristic
518C22×C42C2312yes—
519#400C2312yes—
520#400C2314yes—
521#400C2312yes—
522#400C2312yes—
523#400C2314yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2314yes—
532#399C2314yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#398C2314yes—
538#398C2311yescharacteristic
539#398C2312yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2312yes—
544#398C2314yes—
545#398C2314yes—
546#398C2312yes—
547#398C2314yes—
548#398C2312yes—
549#398C2311yescharacteristic
550#398C2312yes—
551#398C2312yes—
552#398C2311yescharacteristic
553#398C2311yescharacteristic
554#398C2312yes—
555#398C2312yes—
556#398C2314yes—
557#398C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2312yes—
561#397C2312yes—
562#397C2314yes—
563#397C2311yescharacteristic
564#397C2311yescharacteristic
565#397C2311yescharacteristic
566#397C2311yescharacteristic
567#397C2314yes—
568#397C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2312yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2312yes—
585#396C2314yes—
586#396C2312yes—
587#396C2312yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#395C2311yescharacteristic
594#395C2312yes—
595#395C2314yes—
596#395C2312yes—
597#395C2311yescharacteristic
598#395C2311yescharacteristic
599#395C2312yes—
600#395C2311yescharacteristic
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2312yes—
610#394C2312yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2312yes—
620#394C2312yes—
621#394C2314yes—
622#394C2314yes—
623#394C2312yes—
624#394C2312yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#393C2311yescharacteristic
637#393C2312yes—
638#393C2314yes—
639#393C2312yes—
640#393C2311yescharacteristic
641#393C2311yescharacteristic
642#393C2312yes—
643#393C2311yescharacteristic
644#393C2312yes—
645#392C2314yes—
646#392C2314yes—
647#392C2314yes—
648#392C2314yes—
649#392C2312yes—
650#392C2312yes—
651#392C2312yes—
652#392C2312yes—
653#392C2314yes—
654#392C2314yes—
655#392C2314yes—
656#392C2314yes—
657#392C2314yes—
658#392C2314yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2314yes—
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2314yes—
668#390C2312yes—
669#390C2312yes—
670#390C2312yes—
671#390C2312yes—
672#390C2314yes—
673#390C2314yes—
674#390C2314yes—
675#390C2314yes—
676#390C2312yes—
677#390C2312yes—
678#390C2314yes—
679#390C2314yes—
680#390C2314yes—
681#390C2314yes—
682#390C2312yes—
683#390C2312yes—
684#390C2312yes—
685#390C2312yes—
686#390C2312yes—
687#390C2314yes—
688#389C2312yes—
689#389C2312yes—
690#389C2314yes—
691#389C2314yes—
692#389C2314yes—
693#389C2314yes—
694#389C2314yes—
695#389C2314yes—
696#389C2314yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2312yes—
701#389C2314yes—
702#389C2314yes—
703#389C2314yes—
704#389C2314yes—
705#389C2314yes—
706#389C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2312yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2312yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2312yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2312yes—
741#387C2312yes—
742#387C2314yes—
743#387C2314yes—
744#387C2312yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2312yes—
750#387C2314yes—
751#387C2314yes—
752#387C2312yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2312yes—
771#386C2312yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2312yes—
788#385C2312yes—
789#384C2312yes—
790#384C2314yes—
791#384C2312yes—
792#383C2314yes—
793#383C2312yes—
794#382C2312yes—
795#382C2312yes—
796#382C2311yescharacteristic
797#382C2311yescharacteristic
798#381C2312yes—
799#381C2312yes—
800#381C2311yescharacteristic
801#381C2311yescharacteristic
802#381C2314yes—
803#381C2314yes—
804#381C2312yes—
805#381C2312yes—
806#381C2314yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2314yes—
811#380C2314yes—
812#380C2314yes—
813#380C2312yes—
814#380C2312yes—
815#380C2314yes—
816#380C2314yes—
817#379C2314yes—
818#379C2314yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2314yes—
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847#376C2311yescharacteristic
848#376C2311yescharacteristic
849#376C2312yes—
850#376C2312yes—
851C25C2412yes—
852C2×#41—24no—
853C2×#41—28no—
854C2×#41—28no—
855C2×#41—44no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—44no—
859C2×#41—48no—
860C2×#41C2×D418yes—
861C22×Q8—24no—
862C22×Q8—44no—
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×D4—24no—
872C22×D4—44no—
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2414yes—
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2414yes—
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2414yes—
897C23×C4C2411yescharacteristic
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2414yes—
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C4⋊Q8—28no—
913C4⋊Q8—24no—
914C4⋊Q8—24no—
915C4⋊Q8—24no—
916C4⋊Q8—44no—
917#127—28no—
918#127—24no—
919#127—44no—
920#127—82no—
921#126—216no—
922#126—28no—
923#126—28no—
924#126—216no—
925#126—28no—
926#126—24no—
927#126—28no—
928#126—28no—
929#126—28no—
930#126—28no—
931#126—28no—
932#126—28no—
933#126—28no—
934#126—24no—
935#126—216no—
936#125—216no—
937#125—28no—
938#125—28no—
939#125—24no—
940#125—28no—
941#125—24no—
942#125—24no—
943#125—28no—
944#124—28no—
945#124—24no—
946#124—28no—
947#124—216no—
948#124—28no—
949#124—28no—
950#124—24no—
951#124—28no—
952#124—24no—
953#124—28no—
954#124—44no—
955#124—44no—
956#124—82no—
957#123—28no—
958#123—28no—
959#123—28no—
960#123—28no—
961#123—24no—
962#123—24no—
963#123—216no—
964#123—216no—
965#123—28no—
966#123—28no—
967#123—216no—
968#123—28no—
969#123—28no—
970#123—44no—
971#123—44no—
972#123—48no—
973#123—84no—
974#123—84no—
975C22⋊Q8—24no—
976C22⋊Q8—24no—
977C22⋊Q8—24no—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—216no—
982C22⋊Q8—28no—
983C22⋊Q8—24no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—48no—
988C22⋊Q8—48no—
989C22⋊Q8—44no—
990C22⋊Q8—44no—
991#121—216no—
992#121—216no—
993#121—28no—
994#121—28no—
995#121—24no—
996#121—24no—
997#121—28no—
998#121—28no—
999#121—28no—
1000#121—28no—
1001#121—24no—
1002#121—216no—
1003#121—28no—
1004#121—48no—
1005#121—44no—
1006#121—44no—
1007#120—28no—
1008#120—28no—
1009#120—48no—
1010#120—84no—
1011C4×Q8—28no—
1012C4×Q8—28no—
1013C4×Q8—24no—
1014C4×Q8—24no—
1015C4×Q8—28no—
1016C4×Q8—24no—
1017C4×Q8—24no—
1018C4×Q8—24no—
1019C4×Q8—28no—
1020C4×Q8—28no—
1021C4×Q8—24no—
1022C4×Q8—28no—
1023C4×Q8—24no—
1024C4×Q8—44no—
1025C4×Q8—44no—
1026C4×Q8C2×D418yes—
1027C4×Q8C2×D418yes—
1028C4×D4—24no—
1029C4×D4—24no—
1030C4×D4—216no—
1031C4×D4—216no—
1032C4×D4—28no—
1033C4×D4—28no—
1034C4×D4—216no—
1035C4×D4—24no—
1036C4×D4—24no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—28no—
1040C4×D4—24no—
1041C4×D4—216no—
1042C4×D4—216no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—24no—
1048C4×D4—28no—
1049C4×D4—24no—
1050C4×D4—28no—
1051C4×D4—84no—
1052C4×D4—84no—
1053C4×D4C2×D418yes—
1054C4×D4C2×D4116yes—
1055C4×D4C2×D418yes—
1056C4×D4C2×D4116yes—
1057#117—28no—
1058#117—24no—
1059#117—28no—
1060#117—216no—
1061#117—216no—
1062#117—24no—
1063#117—24no—
1064#117—28no—
1065#117—28no—
1066#117—28no—
1067#117—84no—
1068#117—82no—
1069#117C2×D418yes—
1070#117C2×D4116yes—
1071C2×C4⋊C4—28no—
1072C2×C4⋊C4—24no—
1073C2×C4⋊C4—28no—
1074C2×C4⋊C4—28no—
1075C2×C4⋊C4—28no—
1076C2×C4⋊C4—24no—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C22⋊C4—28no—
1147C2×C22⋊C4—28no—
1148C2×C22⋊C4—28no—
1149C2×C22⋊C4—28no—
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C42—28no—
1222C2×C42—216no—
1223C2×C42C2×D418yes—
1224C2×C42C2×D4116yes—
1225C2×C42C2412yes—
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2412yes—
1229C2×C42C2414yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2414yes—
1233C2×C42C2412yes—
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2412yes—
1238C2×C42C2414yes—
1239C2×C42C2414yes—
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2414yes—
1243C2×C42C2414yes—
1244C2×C42C2411yescharacteristic
1245C2×C42C2412yes—
1246C2×C42C2411yescharacteristic
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2411yescharacteristic
1250C2×C42C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2412yes—
1255#95C2411yescharacteristic
1256#95C2412yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2412yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300C24—24no—
1301C24—44no—
1302C24—44no—
1303C24—42no—
1304C24—42no—
1305C24C2511yescharacteristic
1306C24C2512yes—
1307C24C2511yescharacteristic
1308C24C2514yes—
1309C24C2512yes—
1310C24C2511yescharacteristic
1311#41—416no—
1312#41—432no—
1313#41—416no—
1314#41—432no—
1315C2×Q8—22no—
1316C2×Q8—24no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—24no—
1320C2×Q8—22no—
1321C2×Q8—24no—
1322C2×Q8—24no—
1323C2×Q8—24no—
1324C2×Q8—24no—
1325C2×Q8—24no—
1326C2×Q8—24no—
1327C2×Q8—24no—
1328C2×Q8—42no—
1329C2×Q8—42no—
1330C2×Q8—44no—
1331C2×Q8—41no—
1332C2×Q8—41no—
1333C2×Q8—416no—
1334C2×Q8C22×D414yes—
1335C2×D4—24no—
1336C2×D4—28no—
1337C2×D4—24no—
1338C2×D4—28no—
1339C2×D4—22no—
1340C2×D4—24no—
1341C2×D4—22no—
1342C2×D4—28no—
1343C2×D4—22no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—28no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—44no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—416no—
1385C2×D4C22×D414yes—
1386C2×D4C22×D418yes—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—28no—
1394C22×C4—28no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—28no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—28no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—42no—
1406C22×C4—41no—
1407C22×C4—42no—
1408C22×C4—41no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—42no—
1418C22×C4—44no—
1419C22×C4—42no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—44no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—42no—
1429C22×C4C22×D414yes—
1430C22×C4C22×D418yes—
1431C22×C4C22×D418yes—
1432C22×C4C22×D418yes—
1433C22×C4C22×D414yes—
1434C22×C4C22×D414yes—
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2514yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2514yes—
1442C22×C4C2511yescharacteristic
1443C22×C4C2512yes—
1444C22×C4C2514yes—
1445C22×C4C2512yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2511yescharacteristic
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2512yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2512yes—
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2512yes—
1460C22×C4C2512yes—
1461C22×C4C2511yescharacteristic
1462C22×C4C2512yes—
1463C22×C4C2511yescharacteristic
1464C4⋊C4—22no—
1465C4⋊C4—24no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—22no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—22no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—22no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—28no—
1490C4⋊C4—24no—
1491C4⋊C4—28no—
1492C4⋊C4—28no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—22no—
1497C4⋊C4—24no—
1498C4⋊C4—28no—
1499C4⋊C4—24no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—24no—
1503C4⋊C4—24no—
1504C4⋊C4—24no—
1505C4⋊C4—28no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—42no—
1524C4⋊C4—42no—
1525C4⋊C4—42no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4C22×D414yes—
1530C4⋊C4C22×D414yes—
1531C4⋊C4C22×D418yes—
1532C4⋊C4C22×D418yes—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—28no—
1536C22⋊C4—22no—
1537C22⋊C4—24no—
1538C22⋊C4—28no—
1539C22⋊C4—22no—
1540C22⋊C4—22no—
1541C22⋊C4—24no—
1542C22⋊C4—22no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—22no—
1554C22⋊C4—28no—
1555C22⋊C4—28no—
1556C22⋊C4—28no—
1557C22⋊C4—22no—
1558C22⋊C4—22no—
1559C22⋊C4—28no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—22no—
1564C22⋊C4—28no—
1565C22⋊C4—28no—
1566C22⋊C4—24no—
1567C22⋊C4—28no—
1568C22⋊C4—24no—
1569C22⋊C4—44no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—42no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4C22×D418yes—
1602C22⋊C4C22×D418yes—
1603C22⋊C4C22×D418yes—
1604C42—24no—
1605C42—24no—
1606C42—28no—
1607C42—28no—
1608C42—24no—
1609C42—24no—
1610C42—24no—
1611C42—24no—
1612C42—24no—
1613C42—22no—
1614C42—22no—
1615C42—24no—
1616C42—24no—
1617C42—44no—
1618C42—44no—
1619C42—42no—
1620C42—42no—
1621C42—44no—
1622C42—44no—
1623C42C22×D418yes—
1624C42C22×D414yes—
1625C42C22×D414yes—
1626C42C22×D414yes—
1627C42C22×D418yes—
1628C42C22×D418yes—
1629C42C22×D414yes—
1630C23—22no—
1631C23—24no—
1632C23—22no—
1633C23—24no—
1634C23—21no—
1635C23—22no—
1636C23—21no—
1637C23—22no—
1638C23—21no—
1639C23—22no—
1640C23—24no—
1641C23—21no—
1642C23—24no—
1643C23—22no—
1644C23—22no—
1645C23—24no—
1646C23—24no—
1647C23—22no—
1648C23—22no—
1649C23—24no—
1650C23—24no—
1651C23—24no—
1652C23—22no—
1653C23—24no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—24no—
1659C23—22no—
1660C23—48no—
1661C23—84no—
1662C23—84no—
1663C23—164no—
1664C23—164no—
1665C23C23×D414yes—
1666C23C23×D412yes—
1667C23C2611yescharacteristic
1668Q8—28no—
1669Q8—28no—
1670Q8—48no—
1671Q8—44no—
1672Q8—44no—
1673Q8—48no—
1674Q8—84no—
1675Q8—82no—
1676D4—28no—
1677D4—48no—
1678D4—416no—
1679D4—48no—
1680D4—48no—
1681D4—416no—
1682D4—48no—
1683D4—44no—
1684D4—48no—
1685D4—84no—
1686D4—82no—
1687D4—84no—
1688D4—82no—
1689D4—82no—
1690D4—84no—
1691D4—88no—
1692D4—88no—
1693D4—88no—
1694D4—164no—
1695D4—164no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—28no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—24no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—24no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—24no—
1743C2×C4—22no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—22no—
1748C2×C4—24no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—48no—
1762C2×C4—44no—
1763C2×C4—44no—
1764C2×C4—48no—
1765C2×C4—48no—
1766C2×C4—416no—
1767C2×C4—48no—
1768C2×C4—416no—
1769C2×C4—48no—
1770C2×C4—44no—
1771C2×C4—44no—
1772C2×C4—84no—
1773C2×C4—88no—
1774C2×C4—84no—
1775C2×C4—84no—
1776C2×C4—84no—
1777C2×C4—84no—
1778C2×C4—84no—
1779C2×C4C23×D412yes—
1780C2×C4C23×D414yes—
1781C2×C4C23×D412yes—
1782C2×C4C23×D414yes—
1783C2×C4C23×D412yes—
1784C2×C4C23×D412yes—
1785C2×C4C23×D414yes—
1786C2×C4C23×D412yes—
1787C2×C4C23×D412yes—
1788C2×C4#58514yes—
1789C2×C4#58514yes—
1790C22—22no—
1791C22—24no—
1792C22—22no—
1793C22—24no—
1794C22—22no—
1795C22—24no—
1796C22—42no—
1797C22—44no—
1798C22—42no—
1799C22—44no—
1800C22—44no—
1801C22—42no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—44no—
1806C22—42no—
1807C22—41no—
1808C22—44no—
1809C22—41no—
1810C22—41no—
1811C22—42no—
1812C22—44no—
1813C22—44no—
1814C22—42no—
1815C22—44no—
1816C22—42no—
1817C22—42no—
1818C22—44no—
1819C22—44no—
1820C22—42no—
1821C22—44no—
1822C22—168no—
1823C22C24×D411yescharacteristic
1824C22C2×#58512yes—
1825C22C2×#58512yes—
1826C22H(7,𝔽2)11yescharacteristic
1827C222−1+611yescharacteristic
1828C4—22no—
1829C4—24no—
1830C4—24no—
1831C4—22no—
1832C4—22no—
1833C4—24no—
1834C4—22no—
1835C4—22no—
1836C4—24no—
1837C4—42no—
1838C4—41no—
1839C4—42no—
1840C4—41no—
1841C4—42no—
1842C4—42no—
1843C4—41no—
1844C4—41no—
1845C4—42no—
1846C4—41no—
1847C4—41no—
1848C4—44no—
1849C4—42no—
1850C4—42no—
1851C4—42no—
1852C4—42no—
1853C4—44no—
1854C4—42no—
1855C4—44no—
1856C4#344914yes—
1857C2—42no—
1858C2—44no—
1859C2—84no—
1860C2—81no—
1861C2—82no—
1862C2—81no—
1863C2C2×#344911yescharacteristic
1864C2#6281111yescharacteristic
1865C2#6285311yescharacteristic
1866C2#6296812yes—
1867C2#6296912yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3521C2semidirect
2. C2×#3480C2semidirect
3. #42802C2semidirect
4. #42799C2semidirect
5. #42680C2semidirect
6. #42676C2semidirect
7. #42483C2semidirect
8. #42479C2semidirect
9. #42172C2semidirect
10. #42169C2semidirect
11. #41990C2semidirect
12. #41985C2semidirect
13. #40533C2semidirect
14. #40528C2semidirect
15. #39889C2semidirect
16. #39888C2semidirect
17. #39873C2semidirect
18. #39872C2semidirect
19. #37616C2semidirect
20. #37552C2semidirect
21. #37544C2semidirect
22. #37538C2semidirect
23. #36443C2semidirect
24. #36442C2semidirect
25. #35956C2semidirect
26. #35949C2semidirect
27. #35938C2semidirect
28. #35853C2semidirect
29. #35808C2semidirect
30. #35778C2semidirect
31. #35247C2semidirect
32. #35143C2semidirect
33. #34614C2semidirect
34. #34602C2semidirect
35. #34193C2semidirect
39. C2×#559C22semidirect
40. C2×#557C22semidirect
44. C2×#556C22semidirect
48. C2×#553C22semidirect
49. C2×#553C22semidirect
55. C2×#548C22semidirect
64. C2×#532C22semidirect
68. C2×#529C22semidirect
69. C2×#529C22semidirect
74. C2×C4×#41C22semidirect
75. C2×C4×#41C22semidirect
76. C22×C4×Q8C22semidirect
77. #2855C22semidirect
80. #2852C22semidirect
82. #2823C22semidirect
83. #2817C22semidirect
85. #2816C22semidirect
88. #2813C22semidirect
89. #2813C22semidirect
91. #2725C22semidirect
93. #2705C22semidirect
94. #2704C22semidirect
97. #2702C22semidirect
98. #2701C22semidirect
99. #2701C22semidirect
101. #2699C22semidirect
102. #2698C22semidirect
103. #2689C22semidirect
105. #2683C22semidirect
107. #2682C22semidirect
108. #2681C22semidirect
109. #2681C22semidirect
112. #2672C22semidirect
115. #2664C22semidirect
116. #2664C22semidirect
118. #2662C22semidirect
119. #2662C22semidirect
122. #2642C22semidirect
123. #2641C22semidirect
126. #2637C22semidirect
127. #2637C22semidirect
128. #2637C22semidirect
129. #2637C22semidirect
131. #2636C22semidirect
132. #2636C22semidirect
133. #2636C22semidirect
134. #2635C22semidirect
135. #2635C22semidirect
136. #2634C22semidirect
140. #2630C22semidirect
141. #2630C22semidirect
142. #2629C22semidirect
143. #2627C22semidirect
144. #2627C22semidirect
146. #2625C22semidirect
149. #2623C22semidirect
151. #2620C22semidirect
152. #2620C22semidirect
153. #2620C22semidirect
156. #2618C22semidirect
158. #2616C22semidirect
161. #2614C22semidirect
162. #2611C22semidirect
163. #2611C22semidirect
164. #2610C22semidirect
165. #2610C22semidirect
167. #2604C22semidirect
169. #2603C22semidirect
171. #2602C22semidirect
174. #2601C22semidirect
175. #2601C22semidirect
176. #2599C22semidirect
177. #2598C22semidirect
178. #2598C22semidirect
181. #2584C22semidirect
182. #2584C22semidirect
183. #2582C22semidirect
184. #2579C22semidirect
185. #2579C22semidirect
186. #2568C22semidirect
187. #2566C22semidirect
189. #2558C22semidirect
190. #2556C22semidirect
191. #2554C22semidirect
193. #2548C22semidirect
194. #2546C22semidirect
196. #2545C22semidirect
197. #2545C22semidirect
205. #2519C22semidirect
206. #2506C22semidirect
207. #2486C22semidirect
208. #2484C22semidirect
210. #2474C22semidirect
212. #2470C22semidirect
213. #2468C22semidirect
214. #2466C22semidirect
215. #2464C22semidirect
218. #2461C22semidirect
220. #2459C22semidirect
222. #2457C22semidirect
223. #2456C22semidirect
224. #2455C22semidirect
225. #2455C22semidirect
226. #2454C22semidirect
227. #2453C22semidirect
228. #2452C22semidirect
229. #2451C22semidirect
238. #2432C22semidirect
243. #2429C22semidirect
248. #2426C22semidirect
250. #2413C22semidirect
251. #2413C22semidirect
253. #2409C22semidirect
255. #2407C22semidirect
256. #2406C22semidirect
258. #2399C22semidirect
259. #2399C22semidirect
263. #2396C22semidirect
264. #2396C22semidirect
265. #2396C22semidirect
267. #2392C22semidirect
268. #2392C22semidirect
269. #2392C22semidirect
271. #2367C22semidirect
273. #2365C22semidirect
276. #2361C22semidirect
277. #2360C22semidirect
279. #2354C22semidirect
280. Q8×C4⋊C4C22semidirect
281. #2347C22semidirect
282. #2347C22semidirect
284. #2323C22semidirect
285. #2322C22semidirect
289. #2319C22semidirect
290. #2319C22semidirect
291. C4×C22⋊Q8C22semidirect
293. C4×#123C22semidirect
294. C4×#121C22semidirect
295. #2285C22semidirect
296. #2285C22semidirect
297. #2283C22semidirect
298. #2283C22semidirect
299. #2276C22semidirect
300. #2276C22semidirect
443. C4×#41D4semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#35212
C2×#34802
#428022
#427992
#426802
#426762
#424832
#424792
#421722
#421692
#419902
#419852
#405332
#405282
#398892
#398882
#398732
#398722
#376162
#375522
#375442
#375382
#364432
#364422
#359562
#359492
#359382
#358532
#358082
#357782
#352472
#351432
#346142
#346022
#341932